Fuzzy statistics and random variables represent a progressive fusion of traditional probability theory with the principles of fuzzy logic, enabling the treatment of imprecision and vagueness inherent ...

Abstract: In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

\item We use a capital letter, like $X$, to denote a random variable \item The values of a random variable are denoted with a lowercase letter, in this case $x$ \item ...

1 Department of Statistics and Analytical Sciences, Kennesaw State University, Kennesaw, USA. 2 Department of Mathematics and Statistics, East Tennessee State University, Johnson City, USA. what is ...

Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...

ABSTRACT: In this paper, the complete convergence and weak law of large numbers are established for ρ-mixing sequences of random variables. Our results extend and improve the Baum and Katz complete ...